SOLUTION: Is 3xy + 2y + 15z - 20 = 0 a linear equation? If not, why not?

Question 340418: Is 3xy + 2y + 15z - 20 = 0 a linear equation? If not, why not?
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
No, because of the product term .
All of the other are linear terms.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

A linear equation is an equation in which ALL of the terms are degree 1. The degree of a term is the SUM of the exponents on ALL of the variables in that term.

Rewrite including all of the understood exponents:

Note that the degree of the first term is 1 + 1 = 2, and therefore the equation is not linear. If you go to 3D Graphing Calculator and enter your equation, you will be able to see that the thing is non-linear.

John

My calculator said it, I believe it, that settles it

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